Algebra
Solve for x:
3x+4+10
x=2
What is the perimeter of a rectangle with length 5 cm and width 3 cm?
Perimeter =2 x (5+3)=16 cm
What is the derivative of f(x)=3x2?
f'(x)=6x
how many legs do spiders have?
8 legs
Whose birthday is 11/11/2006
Sophia Rauda
Simplify the expression:
5x-3x+7-2
2x+5
What is the area of a triangle with a base of 6 cm and a height of 4 cm?
Area=1/2 x 6 x 4=12 cm2
Find the integral of f(x)=4x
∫4x dx=2x2+C∫4xdx=2x2+C
(where CC is the constant of integration)
What fruit group do bananas belong to?
Bananas are considered berries
Who is the smartest when it comes to math?
Julian
Solve for x:
2x2-3x-5=0
x=1
or
x= -5/2
In a right triangle, one leg is 6 units and the other leg is 8 units. What is the length of the hypotenuse?
Using the Pythagorean Theorem:
62+82=c2
36+64=c2
c2=100
c=10 units
Evaluate the limit:
limx→0sin(x)xlimx→0xsin(x)
limx→0sin(x)x=1limx→0xsin(x)=1
Is a cloud heavy or light?
Clouds are heavy weighing over a million pounds
what food would Ruby eat for the rest of their life
Beans & rice
Factor completely:
x2-5x+6
(x-2)(x-3)
What is the area of a circle with a radius of 7 cm?
Are
Find the critical points of f(x)=x3−6x2+9x+1f(x)=x3−6x2+9x+1.
To find critical points, take the derivative:
f′(x)=3x2−12x+9f′(x)=3x2−12x+9
Set f′(x)=0f′(x)=0:
3x2−12x+9=03x2−12x+9=0
Divide by 3:
x2−4x+3=0x2−4x+3=0
Factor:
(x−1)(x−3)=0(x−1)(x−3)=0
Thus, the critical points are x=1x=1 and x=3x=3.
How many hearts do Octopuses have?
3 hearts
How many boyfriends does Adrian have? (bonus points if you can name them all)
+50 points for naming all his bfs
Solve for x:
4(2x-3)=2(3x+5)
x=7
In a rhombus, one diagonal is 12 cm and the other is 16cm. What is the area of the rhombus?
Area=1/2 x d1 x d2
Area=1/2 x 12 x 16=96 cm2
Find the integral of f(x)=1x2f(x)=x21.
∫1x2 dx=−1x+C∫x21dx=−x1+C
(where CC is the constant of integration)
Are onions living organisms?
They are living organisms